{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:OX33YL3EZLSZZOVA6S2WA6EI3H","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"e537ec851a54948c308f11d3f9010c79e338bb17fc375357fbc1807fc3397214","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-26T08:20:03Z","title_canon_sha256":"e0632aea3e83c31f2f7ecee75f57e02ed80535d327af11638375f81c761b0fa7"},"schema_version":"1.0","source":{"id":"2606.27835","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.27835","created_at":"2026-06-29T01:14:49Z"},{"alias_kind":"arxiv_version","alias_value":"2606.27835v1","created_at":"2026-06-29T01:14:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.27835","created_at":"2026-06-29T01:14:49Z"},{"alias_kind":"pith_short_12","alias_value":"OX33YL3EZLSZ","created_at":"2026-06-29T01:14:49Z"},{"alias_kind":"pith_short_16","alias_value":"OX33YL3EZLSZZOVA","created_at":"2026-06-29T01:14:49Z"},{"alias_kind":"pith_short_8","alias_value":"OX33YL3E","created_at":"2026-06-29T01:14:49Z"}],"graph_snapshots":[{"event_id":"sha256:2daa6c20ece1a295351e21c0c91264b0d89579fa0ecea022ea3f16ca84706aac","target":"graph","created_at":"2026-06-29T01:14:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.27835/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Crossing a continuous phase transition out of equilibrium typically generates topological defects whose density obeys a universal power-law scaling predicted by the Kibble-Zurek mechanism. Recent numerical studies have revealed systematic deviations from this scaling in the presence of weak explicit symmetry breaking, manifested as an additional exponential suppression of defect formation. However, the origin of this correction and a general theoretical framework to describe it have remained elusive. Here, using large-deviation theory, we show that defect formation under weak symmetry breaking","authors_text":"Jiang Liu, Matteo Baggioli, Peng Yang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-26T08:20:03Z","title":"Rare Events Govern Defect Formation under Weak Symmetry Breaking"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27835","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0d2495c3cb985d2ed872890180d91d6136cf706ff4d42ce5ebee5105c5e8a763","target":"record","created_at":"2026-06-29T01:14:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"e537ec851a54948c308f11d3f9010c79e338bb17fc375357fbc1807fc3397214","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-26T08:20:03Z","title_canon_sha256":"e0632aea3e83c31f2f7ecee75f57e02ed80535d327af11638375f81c761b0fa7"},"schema_version":"1.0","source":{"id":"2606.27835","kind":"arxiv","version":1}},"canonical_sha256":"75f7bc2f64cae59cbaa0f4b5607888d9e4c119c10bd3fa61b4fc850a6a76a2c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75f7bc2f64cae59cbaa0f4b5607888d9e4c119c10bd3fa61b4fc850a6a76a2c1","first_computed_at":"2026-06-29T01:14:49.914942Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-29T01:14:49.914942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nhSKNdW0lpSaPca/01gPJN8zYoDaZ3gQniQRSAxGT2Io3kntFCVc1kCUzl5KnAwV43OYuoWRnKh/QGDF9eGADg==","signature_status":"signed_v1","signed_at":"2026-06-29T01:14:49.915346Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.27835","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d2495c3cb985d2ed872890180d91d6136cf706ff4d42ce5ebee5105c5e8a763","sha256:2daa6c20ece1a295351e21c0c91264b0d89579fa0ecea022ea3f16ca84706aac"],"state_sha256":"1411ef98953f97ab738d79f66dc1733f2d75496a02992d0125cadcb49df8235c"}